pls halp i have a test

How does this work ? 11/9-2/3+5/18

$\begin{array}{|rcll|} \hline \frac{11}{9} - \frac{2}{3} + \frac{5}{18} &=& x \qquad &|\qquad \cdot 9 \\ 9\cdot \frac{11}{9} - 9\cdot \frac{2}{3} + 9\cdot \frac{5}{18} &=& 9x \\ 11 - 6 + \frac{5}{2} &=& 9x \\ 5 + \frac{5}{2} &=& 9x \\ \frac{10}{2} + \frac{5}{2} &=& 9x \\ \frac{15}{2} &=& 9x \qquad &|\qquad : 9\\ \frac{15}{2\cdot 9} &=& x \\ \frac{5}{2\cdot 3} &=& x \\ \frac{5}{6} &=& x \\ \frac{5}{6} &=& \frac{11}{9} - \frac{2}{3} + \frac{5}{18} \\ \hline \end{array}$

Thanks man